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Practice Problems on College Algebra - Old Exam 3 | MATH 143, Exams of Algebra

Material Type: Exam; Professor: Payne; Class: COLLEGE ALGEBRA; Subject: Mathematics; University: Idaho State University; Term: Spring 2009;

Typology: Exams

Pre 2010

Uploaded on 09/24/2009

koofers-user-83f
koofers-user-83f 🇺🇸

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Exam 3 Name
Math 143 April 15, 2009
Show all work and simplify all answers. Give exact numerical answers unless you are instructed
to make a decimal approximation. NPC means no partial credit.
1. [21 points]
(a) [NPC] Simplify log41
8.
(b) [NPC] Find all intercepts for the graph y= (1.2)x.
x-intercept(s):
y-intercept:
(c) [NPC] Fill in the blank: the functions f(x) = 2xand g(x) =
are inverses of one another.
(d) [NPC] Express log57 as a decimal number. Round your answer to the nearest one-
hundredth.
(e) [NPC] True or false: log3(5x2) = 2 log3(5x)
(f) [NPC] Find the domain of f(x) = ln(5 x).Express your answer in interval notation.
I need to solve the inequality:
The domain is
1
pf3

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Exam 3 Name

Math 143 April 15, 2009

Show all work and simplify all answers. Give exact numerical answers unless you are instructed to make a decimal approximation. NPC means no partial credit.

  1. [21 points]

(a) [NPC] Simplify log 4

(b) [NPC] Find all intercepts for the graph y = (1.2)x.

x-intercept(s):

y-intercept:

(c) [NPC] Fill in the blank: the functions f (x) = 2x^ and g(x) = are inverses of one another.

(d) [NPC] Express log 5 7 as a decimal number. Round your answer to the nearest one- hundredth.

(e) [NPC] True or false: log 3 (5x^2 ) = 2 log 3 (5x)

(f) [NPC] Find the domain of f (x) = ln(5 − x). Express your answer in interval notation.

I need to solve the inequality:

The domain is

  1. [11 points] Express as a single logarithm with a coefficient of one: 2 ln x − ln 3 + ln(x − 1). [Caution: Apply only one log rule per step.]
  2. [8 points] Use properties of exponents to solve for x. Leave your answer in terms of natural logarithms. 2e1+x^ = 7.
  3. [10 points] Find a formula for the inverse of f (x) = 2 + ln x.

f −^1 (x) =

  1. [14 points] Graph the function y = log 5 x. Find the domain and range, and specify asymptotes and intercepts.

Domain:

Range:

Asymptote(s):

Intercepts(s):